H. Ou,
J. Llibre.
NEW 2025-07-11Quadratic systems with two invariant real straight lines and an invariant ellipse.
Preprint. July, 2025.
Abstract
J. Llibre, H. Zeng.
NEW 2025-07-07Global phase portraits of a SIS model with importation and removal.
Preprint. July, 2025.
Abstract
Á. Fernández-Mora, À. Haro,
J. M. Mondelo.
NEW 2025-06-23On the convergence of flow map parametrization methods in Hamiltonian systems.
Preprint. June, 2025.
PreprintAbstract
L. Queiroz,
J. Llibre.
NEW 2025-06-23On a class of Hamiltonian Kolmogorov systems.
Preprint. June, 2025.
Abstract
R. F. Appis,
J. Llibre.
NEW 2025-06-16No global centers in a class of cubic systems.
Preprint. June, 2025.
Abstract
J. Llibre, A. C. Rezende, L. P. Serantola.
NEW 2025-06-09The periodic orbits of some classes of $3$-dimensional relay hybrid systems.
Preprint. June, 2025.
Abstract
J. Llibre, L. P. Serantola.
NEW 2025-06-06The easiest polynomial differential systems in ${{R}}^3$ having an invariant cylinder.
Extracta Math., 40(1), 121-141. 2025.
[DOI]AbstractFull PDFPreprint at DDDUAB
J. Llibre, A. C. T. Sánchez, D. J. Tonon.
NEW 2025-06-04Limit cycles of discontinuous piecewise hybrid rigid systems separated by a straight line.
Preprint. June, 2025.
Abstract
A. Murza,
J. Llibre.
NEW 2025-06-01Polynomial vector fields on the whitney umbrella.
Preprint. June, 2025.
Abstract
C. Cao, H. Chen,
J. Llibre.
NEW 2025-06-01Global dynamics of the Selkov systems.
Preprint. June, 2025.
Abstract
J. Llibre, C. Valls.
NEW 2025-06-01On the dynamics of the Craik-Okamoto and the Euler top.
Phys. D, 476, 134684. 2025.
[DOI]AbstractPreprint at DDDUAB
L. P. C. Cruz, R. D. S. Oliveira,
J. Torregrosa.
NEW 2025-05-28Limit cycles in piecewise quadratic Kolmogorov systems.
Preprint. May, 2025.
Abstract
A. Gasull,
G. Rondon, P. R. Silva.
NEW 2025-05-22Simultaneous bifurcation of limit cycles for piecewise holomorphic systems.
J. Dyn. Diff. Equat. 2025 (Published online)
[DOI]PreprintAbstract
J. Llibre,
G. Rondon.
NEW 2025-05-20The dynamics of the Ehrhard-Müller system with invariant algebraic surfaces.
Preprint. May, 2025.
PreprintAbstract
A. Cima,
A. Gasull,
F. Mañosas.
NEW 2025-05-13On the critical points of planar polynomial hamiltonian systems.
Preprint. May, 2025.
PreprintAbstract
R. D. S. Oliveira, A. L. Rodero,
J. Torregrosa.
NEW 2025-05-09Mixed simultaneous cyclicity for piecewise smooth vector fields defined on an invariant sphere.
Preprint. May, 2025.
Abstract
D. Marín,
J. Villadelprat.
NEW 2025-05-09Derivatives of the separation function of generalized saddle connections.
Preprint. May, 2025.
PreprintAbstract
A. C. Rezende, M. A. S. Santos,
J. Torregrosa.
NEW 2025-05-08The period function of centers at infinity in planar piecewise linear systems.
Preprint. May, 2025.
Abstract
J. Llibre, R. Tian.
NEW 2025-05-02Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three.
J. Math. Phys., 66, 052702. 2025.
[DOI]AbstractPreprint at DDDUAB
E. Barrabés,
J. M. Cors, A. C. Fernandes, C. Vidal.
NEW 2025-05-02On nested central configurations of the 3n-body problem.
J. Nonlinear Sci. 2025 (Published online)
[DOI]PreprintAbstract
B. Coll,
A. Gasull, R. Prohens.
NEW 2025-05-01The effect of a singularity on transition maps.
Preprint. May, 2025.
PreprintAbstract
M. Domingues,
J. Llibre, L. F. Mello.
NEW 2025-04-29A new sufficient condition in order that the real jacobian conjecture in $R^2$ holds.
Preprint. April, 2025.
Abstract
J. Canela, A. Garijo, P. Roesch.
NEW 2025-04-25Connected McMullen-like Julia sets in a Chebyshev-Halley family.
SIAM J. Appl. Dyn. Syst., 24(2), 1289-1315. 2025.
[DOI]PreprintAbstractPreprint at DDDUAB
B. R. de Freitas, D. Avila, F. Becatti,
J. Llibre.
NEW 2025-04-23Limit cycles of continuous-discontinuous piecewise differential systems formed by two hamiltonian systems and separated by a non-regular line.
Preprint. April, 2025.
Abstract
X. Hu, B. Huang,
J. Llibre, Y. Tang.
NEW 2025-04-21ZeroHopf and nilpotent zero-Hopf bifurcation of periodic orbits in Hamiltonian systems.
Preprint. April, 2025.
Abstract
J. C. Artés, L. Cairó,
J. Llibre.
NEW 2025-04-19Phase portraits of the families VII and VIII of the quadratic polynomial differential systems.
Preprint. April, 2025.
Abstract
F. Braun, L. P. C. Cruz,
J. Torregrosa.
NEW 2025-04-16Local and global analysis of the displacement map for some near integrable systems.
Preprint. April, 2025.
Abstract
J. Ginoux,
J. Llibre, R. Meucci, J. C. Sprott.
NEW 2025-04-16Energy function of 2D and 3D coarse systems.
Chaos Solitons Fractals, 199, 116643 (9 pages). 2025.
[DOI]PreprintAbstractPreprint at DDDUAB
L. Baymout, R. Benterki,
J. Llibre.
NEW 2025-04-15The limit cycles of a class of discontinuous piecewise differential systems.
Int. J. Dyn. Syst. Differ. Equ., 13(4), . 2024.
[DOI]PreprintAbstractPreprint at DDDUAB
B. Grajales,
G. Rondon, J. Saavedra.
NEW 2025-04-12Riemannian geometry of $G_2$-type real flag manifolds.
Preprint. April, 2025.
PreprintAbstract
G. Rondon, P. R. Silva, L. F. d. S. Gouveia.
NEW 2025-04-12Holomorphic slow-fast systems.
Preprint. April, 2025.
PreprintAbstract
M. Garrido, P. Martín, J. Paradela.
NEW 2025-04-12Parabolic saddles and Newhouse domains in celestial mechanics.
Preprint. April, 2025.
PreprintAbstract
J. Llibre, Y. P. Martinez-Mancilla, C. Valls.
NEW 2025-04-10On the dynamics of the Muthuswamy-Chua systems in $\mathbb R^3$.
Chaos, 35, 043121. 2025.
[DOI]AbstractPreprint at DDDUAB
M. Garrido, P. Martín, J. Paradela.
NEW 2025-04-10Parabolic saddles and newhouse domains in celestial mechanics.
To appear in Commun. Math. Phys.
PreprintAbstract
J. Llibre, Y. Zhao, S. Li.
NEW 2025-04-07On the index of an isolated equilibrium point for piecewise polynomial differential systems.
J. Math. Anal. Appl., 551(2), 129651. 2025.
[DOI]AbstractPreprint at DDDUAB
D. Marín,
J. Villadelprat.
NEW 2025-03-30The cyclicity of hyperbolic hemicycles.
J. Differential Equations, 433, 113281. 2025.
[DOI]PreprintAbstractPreprint at DDDUAB
J. Llibre, Y. Zhao.
NEW 2025-03-27Final evolutions for Lotka-Volterra systems in $R^3$ having a Darboux invariant.
Electron. J. Differential Equations, 37, 1-16. 2025.
[DOI]PreprintAbstractPreprint at DDDUAB
A. Cima,
A. Gasull,
V. Mañosa,
F. Mañosas.
NEW 2025-03-24On two families of iterative methods without memory.
Preprint. March, 2025.
PreprintAbstract
J. Llibre, C. Valls.
NEW 2025-03-24Global asymptotic stability in quadratic systems.
Electron. J. Differential Equations, 36, 1-12. 2025.
[DOI]PreprintAbstractPreprint at DDDUAB